A lower bound for the dimension of certain 𝐺_{𝛿} sets in completely normal spaces

Wilkinson, James B.

doi:10.1090/S0002-9939-1969-0238283-6

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A lower bound for the dimension of certain $G_{\delta }$ sets in completely normal spaces
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by James B. Wilkinson

Proc. Amer. Math. Soc. 20 (1969), 175-178

DOI: https://doi.org/10.1090/S0002-9939-1969-0238283-6

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References

Sur les continus plans non bornés

Kiichi Morita, On the dimension of normal spaces. I, Jpn. J. Math. 20 (1950), 5–36. MR 45374, DOI 10.4099/jjm1924.20.0_{5}
Keiô Nagami and J. H. Roberts, A study of metric-dependent dimension functions, Trans. Amer. Math. Soc. 129 (1967), 414–435. MR 215289, DOI 10.1090/S0002-9947-1967-0215289-7